2010- 2012 PhD at the Australian National University (Canberra Australia). School of Mathematical Sciences.

2004-2009 Undergraduate Studies at the University of Wollongong (Australia). Studying Advanced Mathematics (Honours)

Research Interests

Numerical Analysis

Stochastic Processes

Systems Biology

High Performance Computing

Research Focus

The key focus is on constructing probability distributions of jump Markov processes that arise in Biology. Solving the Chemical Master Equation (CME) is one method in which we can construct a pdf for such processes. Knowing the probability distribution gives vital information about the state the biological system is likely to be in and where it is likely to go. Computing accurate approximations of the CME is a difficult task when there are a variety of interactions in the biological process being modeled. I work in the following key research topics to tackle these problems and make the CME tractable:

Software

PyME is a python based FSP CME solver. The software was designed to adaptively select the domain to help compute an accurate approximation to the solution of large dimensional CME. There are key additions to this package which give very fast computation times, the algorithms are based on methods proposed in my thesis.